Base | Representation |
---|---|
bin | 10001000001000… |
… | …100100000000000 |
3 | 201220012120010000 |
4 | 101001010200000 |
5 | 1041041240443 |
6 | 44155040000 |
7 | 10034436555 |
oct | 2101044000 |
9 | 656176100 |
10 | 285493248 |
11 | 137176337 |
12 | 7b740000 |
13 | 471bbb21 |
14 | 29cb8a2c |
15 | 1a0e58d3 |
hex | 11044800 |
285493248 has 120 divisors (see below), whose sum is σ = 853242390. Its totient is φ = 95109120.
The previous prime is 285493217. The next prime is 285493249. The reversal of 285493248 is 842394582.
285493248 is a `hidden beast` number, since 285 + 49 + 324 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 215737344 + 69755904 = 14688^2 + 8352^2 .
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (285493249) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165028 + ... + 166748.
Almost surely, 2285493248 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 285493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426621195).
285493248 is an abundant number, since it is smaller than the sum of its proper divisors (567749142).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
285493248 is an equidigital number, since it uses as much as digits as its factorization.
285493248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1755 (or 1726 counting only the distinct ones).
The product of its digits is 552960, while the sum is 45.
The square root of 285493248 is about 16896.5454457413. The cubic root of 285493248 is about 658.4638654733.
The spelling of 285493248 in words is "two hundred eighty-five million, four hundred ninety-three thousand, two hundred forty-eight".
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